Finding the Third Proportional to 21,891 and 34,014

Step by Step Solution

1. Step 1: Write the proportion equation
   21,891 : 34,014 = 34,014 : x
2. Step 2: Convert to fraction form
   21,891/34,014 = 34,014/x
3. Step 3: Cross multiply
   21,891x = 34,014 × 34,014
4. Step 4: Simplify right side
   21,891x = 1,156,952,196
5. Step 5: Solve for x
   x = 1,156,952,196/21,891
6. Step 6: Final answer
   x = 52,850.59